How many Minimum Non Linear equations required to solve N variables in optimization problem?

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Dhanu Naik 2018-2-7

评论： Dhanu Naik 2018-2-7

I am using Genetic Algorithm to optimize the decision variables x(1),x(2),....x(N).

And I have less than N equations obtained from constraint function, With only one Objective.

Do we exactly need N non-linear equations? Or is it ok if we have less than N equations?

Birdman 2018-2-7

Imagine that N=3;

A=[1 1 4;2 4 5];b=[2;1];
fun=@(x) x(1).^2+2*x(2)-x(3).^3;
y=ga(fun,3,A,b)

As you can see, there is one objective function, with two constraints and three variables. It gives a result. Hope this helps.

Birdman 2018-2-7

Yes, it can but it will just take more time than usual. For instance for N=32, when I solve a problem for ga, the elapsed time is

>> Elapsed time is 73.111 seconds.

Dhanu Naik 2018-2-7

Thank you, I hope this will help me.

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